Finding the Third Proportional to 112,806 and 157,096

Step by Step Solution

1. Step 1: Write the proportion equation
   112,806 : 157,096 = 157,096 : x
2. Step 2: Convert to fraction form
   112,806/157,096 = 157,096/x
3. Step 3: Cross multiply
   112,806x = 157,096 × 157,096
4. Step 4: Simplify right side
   112,806x = 24,679,153,216
5. Step 5: Solve for x
   x = 24,679,153,216/112,806
6. Step 6: Final answer
   x = 218,775.18